论文标题
ABS NLP和MPCC之间的关系。第1部分：强大的约束资格
Relations between Abs-Normal NLPs and MPCCs. Part 1: Strong Constraint Qualifications
论文作者
论文摘要
这项工作是将ABS-Normal形式的非平滑优化问题与MPCC进行比较的持续努力的一部分。我们研究了与同等MPCC重新印象相关的一般ABS NLP，具有平等和不平等限制。我们表明，线性独立性类型和Mangasarian-Fromovitz类型的扭结资格和MPCC的约束资格是等效的。然后，我们考虑具有一阶和二阶最佳条件的强有力的平稳性概念，事实证明这两个问题类别是等效的。在整个过程中，我们还考虑了[9]中建议的特定的松弛重新纠正，该重新措施保留了线性独立性类型的约束资格，而不是芒果 - 弗罗莫维茨类型的限制。
This work is part of an ongoing effort of comparing non-smooth optimization problems in abs-normal form to MPCCs. We study the general abs-normal NLP with equality and inequality constraints in relation to an equivalent MPCC reformulation. We show that kink qualifications and MPCC constraint qualifications of linear independence type and Mangasarian-Fromovitz type are equivalent. Then we consider strong stationarity concepts with first and second order optimality conditions, which again turn out to be equivalent for the two problem classes. Throughout we also consider specific slack reformulations suggested in [9], which preserve constraint qualifications of linear independence type but not of Mangasarian-Fromovitz type.
